214339086824975 has 48 divisors (see below), whose sum is σ = 305858621652480. Its totient is φ = 145958154211200.

The previous prime is 214339086824953. The next prime is 214339086825037. The reversal of 214339086824975 is 579428680933412.

It is a Cunningham number, because it is equal to 14640324²-1.

It is not a de Polignac number, because 214339086824975 - 2⁸ = 214339086824719 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214339086824899 and 214339086824908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7320164 + ... + 21960486.

It is an arithmetic number, because the mean of its divisors is an integer number (6372054617760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅214339086824975 = 428678173649950, but 3⋅214339086824975 = 643017260474925 is not.

Almost surely, 2^{214339086824975} is an apocalyptic number.

214339086824975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214339086824975 is a deficient number, since it is larger than the sum of its proper divisors (91519534827505).

214339086824975 is a wasteful number, since it uses less digits than its factorization.

214339086824975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640920 (or 14640915 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 71.

The spelling of 214339086824975 in words is "two hundred fourteen trillion, three hundred thirty-nine billion, eighty-six million, eight hundred twenty-four thousand, nine hundred seventy-five".